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Introduction to the qualitative theory of dynamical systems on surfaces

Author: S Kh Aranson; Genrikh Ruvimovich Belit︠s︡kiĭ; E V Zhuzhoma
Publisher: Providence, R.I. : American Mathematical Society, ©1996.
Series: Translations of mathematical monographs, v. 153.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is an introduction to the qualitative theory of dynamical systems on manifolds of low dimension (on the circle and on surfaces). Along with classical results, it reflects the most significant achievements in this area obtained in recent times by Russian and foreign mathematicians whose work has not yet appeared in the monographic literature. The main stress here is put on global problems in the qualitative  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Aranson, S. Kh.
Introduction to the qualitative theory of dynamical systems on surfaces.
Providence, R.I. : American Mathematical Society, ©1996
(DLC) 96019197
(OCoLC)34669346
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: S Kh Aranson; Genrikh Ruvimovich Belit︠s︡kiĭ; E V Zhuzhoma
ISBN: 9781470445683 1470445689
OCLC Number: 1031916308
Description: 1 online resource.
Contents: Chapter 1. Dynamical systems on surfaces Chapter 2. Structure of limit sets Chapter 3. Topological structure of a flow Chapter 4. Local structure of dynamical systems Chapter 5. Transformations of the circle Chapter 6. Classification of flows on surfaces Chapter 7. Relation between smoothness properties and topological properties of flows
Series Title: Translations of mathematical monographs, v. 153.
Other Titles: Vvedenie v kachestvennui︠u︡ teorii︠u︡ dinamicheskikh sistem na poverkhnosti︠a︡kh.
Dynamical systems on surfaces
Responsibility: S. Kh. Aranson, G.R. Belitsky, E.V. Zhuzhoma ; [translated by H.H. McFaden from an original Russian manuscript].

Abstract:

This book is an introduction to the qualitative theory of dynamical systems on manifolds of low dimension (on the circle and on surfaces). Along with classical results, it reflects the most significant achievements in this area obtained in recent times by Russian and foreign mathematicians whose work has not yet appeared in the monographic literature. The main stress here is put on global problems in the qualitative theory of flows on surfaces. Despite the fact that flows on surfaces have the same local structure as flows on the plane, they have many global properties intrinsic to multidimensi.

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